GCD of 731, 138, 380, 550 Calculator

Given Input numbers are 731, 138, 380, 550

In the factoring method, we have to find the divisors of all numbers

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

GCD of numbers is the greatest common divisor

So, the GCD (731, 138, 380, 550) = 1.

Given numbers are 731, 138, 380, 550

The list of prime factors of all numbers are

Prime factors of 731 are 17 x 43

Prime factors of 138 are 2 x 3 x 23

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 550 are 2 x 5 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 731, 138, 380, 550

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(731, 138) = 100878

GCD(731, 138) = ( 731 x 138 ) / 100878

= 731 / 138

= 731

Step2:

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

= 1 / 380

= 1

Step3:

LCM(1, 550) = 550

GCD(1, 550) = ( 1 x 550 ) / 550

= 1 / 550

= 1

So, Greatest Common Divisor of 731, 138, 380, 550 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 326, 824, 419, 305
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Given numbers are 731, 138, 380, 550
The greatest common divisor of numbers 731, 138, 380, 550 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 731, 138, 380, 550 is 1.

1. What is the GCD of 731, 138, 380, 550?

GCD of given numbers 731, 138, 380, 550 is 1

2. How to calculate the greatest common divisor of 731, 138, 380, 550?

We can find the highest common divisor of 731, 138, 380, 550 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 731, 138, 380, 550 i.e 1.

3. How can I use the GCD of 731, 138, 380, 550Calculator?

Out the numbers 731, 138, 380, 550 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.